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Finding the Fourth Proportional to 1,044.92, 1,566.12 and 582.56

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Solution

The fourth proportional to 1,044.92, 1,566.12 and 582.56 is: 873.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.92 : 1,566.12 = 582.56 : x
  2. Step 2: Convert to fraction form
    1,044.92/1,566.12 = 582.56/x
  3. Step 3: Cross multiply
    1,044.92x = 1,566.12 × 582.56
  4. Step 4: Simplify right side
    1,044.92x = 912,358.87
  5. Step 5: Solve for x
    x = 912,358.87/1,044.92
  6. Step 6: Final answer
    x = 873.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.